Abstract
The diffraction spectra of lattice gas models on ℤd with finite-range ferromagnetic two-body interactions above T c or with certain rates of decay of the potential are considered. We show that these diffraction spectra almost surely exist, are ℤd-periodic and consist of a pure point part and an absolutely continuous part with continuous density.
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Baake, M., Sing, B. Diffraction Spectrum of Lattice Gas Models above T c . Letters in Mathematical Physics 68, 165–173 (2004). https://doi.org/10.1023/B:MATH.0000045555.93532.6d
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DOI: https://doi.org/10.1023/B:MATH.0000045555.93532.6d